Answer:
y = 5x + 29
Explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = 5x + 2 is in this form with slope m = 5
• Parallel lines have equal slopes, hence
y = 5x + c ← is the partial equation of the parallel line
To find c substitute (- 6, - 1) into the partial equation
- 1 = - 30 + c ⇒ c = - 1 + 30 = 29, thus
y = 5x + 29 ← in slope- intercept form